Question

Priya rewrites the expression 8y - 24 as 8(y - 3). Han rewrites 8y - 24 as 2 (4y - 12). Are Priya's and Han's expressions each equivalent to 8y - 24? Explain your reasoning

Answer 1

Answer:

They are equivalent

Step-by-step explanation:

Priya rewrites the expression 8y - 24 as 8(y - 3).

Han rewrites 8y - 24 as 2(4y - 12)

The two expressions are equivalent. This is reached by taking note of the fact that if the factorized form is expanded, they both give the same result.

In Priya's Version,

8(y - 3)=(8 X y)-(8 X 3)=8y-24

Likewise In Han's Version

2(4y - 12)=(2 X 4y) - (2 X 12) =8y-24

We can see from the bolded that our results are the same. Priya's Version is a fully factorized form while Han's Version can still be factorized further to get Priya's version.

i.e. 2(4y - 12)=2 X 4(y-3)=8(y-3)